4022202400 has 72 divisors (see below), whose sum is σ = 9829620864. Its totient is φ = 1607174400.

The previous prime is 4022202389. The next prime is 4022202407. The reversal of 4022202400 is 42022204.

It is a super-2 number, since 2×4022202400² = 32356224293131520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4022202407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976345 + ... + 980455.

It is an arithmetic number, because the mean of its divisors is an integer number (136522512).

Almost surely, 2^4022202400 is an apocalyptic number.

4022202400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914810432).

4022202400 is an abundant number, since it is smaller than the sum of its proper divisors (5807418464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4022202400 is a wasteful number, since it uses less digits than its factorization.

4022202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4022202400 is about 63420.8356930118. The cubic root of 4022202400 is about 1590.3326440348.

Adding to 4022202400 its reverse (42022204), we get a palindrome (4064224604).

The spelling of 4022202400 in words is "four billion, twenty-two million, two hundred two thousand, four hundred".